1138975872800 has 72 divisors (see below), whose sum is σ = 2781227622852. Its totient is φ = 455475200000.

The previous prime is 1138975872787. The next prime is 1138975872803. The reversal of 1138975872800 is 82785798311.

It can be written as a sum of positive squares in 6 ways, for example, as 475344060304 + 663631812496 = 689452^2 + 814636^2 .

It is a super-3 number, since 3×1138975872800³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1138975872800.

It is not an unprimeable number, because it can be changed into a prime (1138975872803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3022880 + ... + 3378720.

Almost surely, 2^{1138975872800} is an apocalyptic number.

1138975872800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138975872800 is an abundant number, since it is smaller than the sum of its proper divisors (1642251750052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1138975872800 is a wasteful number, since it uses less digits than its factorization.

1138975872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359862 (or 359849 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 59.

The spelling of 1138975872800 in words is "one trillion, one hundred thirty-eight billion, nine hundred seventy-five million, eight hundred seventy-two thousand, eight hundred".